Finding the Third Proportional to 81,706 and 111,390.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,706 : 111,390.50 = 111,390.50 : x
2. Step 2: Convert to fraction form
   81,706/111,390.50 = 111,390.50/x
3. Step 3: Cross multiply
   81,706x = 111,390.50 × 111,390.50
4. Step 4: Simplify right side
   81,706x = 12,407,843,490.25
5. Step 5: Solve for x
   x = 12,407,843,490.25/81,706
6. Step 6: Final answer
   x = 151,859.64